Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators

Yang Zhao; Dumitru Baleanu; Mihaela Cristina Baleanu; De-Fu Cheng; Xiao-Jun Yang

doi:10.1155/2013/316978

Abstract and Applied Analysis (Jan 2013)

Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators

Yang Zhao,
Dumitru Baleanu,
Mihaela Cristina Baleanu,
De-Fu Cheng,
Xiao-Jun Yang

Affiliations

Yang Zhao: Electronic and Information Technology Department, Jiangmen Polytechnic, Jiangmen 529090, China
Dumitru Baleanu: Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
Mihaela Cristina Baleanu: Mihail Sadoveanu Theoretical High School, District 2, Street Popa Lazar No. 8, 021586 Bucharest, Romania
De-Fu Cheng: College of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, China
Xiao-Jun Yang: Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, China

DOI: https://doi.org/10.1155/2013/316978
Journal volume & issue: Vol. 2013

Abstract

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The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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